Jesús M. F. Castillo

collaborators

3 papers

math.FA2025

Derived functors associated to the ideal of compact operators in Banach spaces

FÃ©lix Cabello SÃ¡nchez, JesÃºs M. F. Castillo, Alberto Salguero-AlarcÃ³n +1

We compute the derived functors of (the functors associated to) the ideal of compact operators in Banach spaces and obtain new results about the extension and lifting of compact op…

math.FA2025

Polyhedrality for twisted sums with $C (I ¨ ^{I^} \pm)$

JesÃºs M. F. Castillo, Alberto Salguero AlarcÃ³n

We obtain two partial answers to the 3-space problem for isomorphic polyhedrality: (1) every twisted sum of $C (I^\pm)$ , $I^\pm < I ¨ _{1}$ , with a separable isomorphically polyhedral space wit…

math.FA2024

Trimming the Johnson bonsai

We show that if $p > 1$ every subspace of $ℓ_{p} (I^)$ is an $ℓ_{p}$ -sum of separable subspaces of $ℓ_{p}$ , and we provide examples of subspaces of $ℓ_{p} (I^)$ for $0 < p \leq 1$ tha…

Derived functors associated to the ideal of compact operators in Banach spaces

Polyhedrality for twisted sums with C(I¨I^±)

Trimming the Johnson bonsai

Polyhedrality for twisted sums with $C (I ¨ ^{I^} \pm)$